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Mathematics Dictionary
Dr. K. G. Shih
11 Lantana Terrace, Dartmouth, NS, Canada. B2X 3L3

Figure 419

Question
  • Find patterns of R = 2 + 1*sin(p*A/q)^M for q = 3
  • In diagram : p = 1,3,5,7,9,11 and M = 1,2,3
Reference : Get more patterns for various q values
  • For q = 1 in F417
  • For q = 2 in F418
  • For q = 4 in F420
  • For q GT 4, use following program
  • Pattern Mathematics Section 7 with q GT 4
Properties of the diagrams
  • Domain of angle A : 0 to 6*pi
  • Size of petal is 3
  • Number of petals is p or 2*p based on M
Exercise
  • Find number of petals of of R = 1 + 4*sin(5*A/3) if A = 0 to 6*pi

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